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Finding the Fourth Proportional to 12,322.74, 18,491.43 and 4,537.02

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Solution

The fourth proportional to 12,322.74, 18,491.43 and 4,537.02 is: 6,808.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.74 : 18,491.43 = 4,537.02 : x
  2. Step 2: Convert to fraction form
    12,322.74/18,491.43 = 4,537.02/x
  3. Step 3: Cross multiply
    12,322.74x = 18,491.43 × 4,537.02
  4. Step 4: Simplify right side
    12,322.74x = 83,895,987.74
  5. Step 5: Solve for x
    x = 83,895,987.74/12,322.74
  6. Step 6: Final answer
    x = 6,808.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.